Atkin-Lehner |
5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45815p |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-442146589048346875 = -1 · 55 · 77 · 112 · 175 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 11+ -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,58735,31538931] |
[a1,a2,a3,a4,a6] |
Generators |
[3145:-177013:1] [-1590:27771:8] |
Generators of the group modulo torsion |
j |
190466673606656/3758183996875 |
j-invariant |
L |
5.9091334015499 |
L(r)(E,1)/r! |
Ω |
0.22200813272568 |
Real period |
R |
0.13308371474959 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6545a1 |
Quadratic twists by: -7 |